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10262232530640 = 2433543535773613
BaseRepresentation
bin1001010101010101110010…
…1110010111111011010000
31100100001121122000001101000
42111111130232113323100
52321114023011440030
633454223214142000
72106264455153556
oct225253456277320
940301548001330
1010262232530640
1132a7208800622
121198a80ab1900
135959555b600c
142769a23abbd6
1512be26b10860
hex9555cb97ed0

10262232530640 has 640 divisors, whose sum is σ = 36926262996480. Its totient is φ = 2617250807808.

The previous prime is 10262232530611. The next prime is 10262232530657. The reversal of 10262232530640 is 4603523226201.

10262232530640 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 2 + 2 + 3 + 2 + 5 + 3 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10262232530595 and 10262232530604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2840361474 + ... + 2840365086.

It is an arithmetic number, because the mean of its divisors is an integer number (57697285932).

Almost surely, 210262232530640 is an apocalyptic number.

10262232530640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10262232530640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18463131498240).

10262232530640 is an abundant number, since it is smaller than the sum of its proper divisors (26664030465840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10262232530640 is a wasteful number, since it uses less digits than its factorization.

10262232530640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 10262232530640 its reverse (4603523226201), we get a palindrome (14865755756841).

The spelling of 10262232530640 in words is "ten trillion, two hundred sixty-two billion, two hundred thirty-two million, five hundred thirty thousand, six hundred forty".